Now the festival has added weight to those rumors with a photo posted Thursday on its Facebook page. As seen at the top of this post, the photo depicts what appears to be a large round rock -- a rolling stone, in other words -- in the middle of Indio's Empire Polo Club, where Coachella takes place.

This year's edition of the three-day show will run April 12-14 and repeat the following weekend, April 19-21. The official lineup is due to be announced later this month.

If the Stones are indeed set to play Coachella, the festival gig will follow up a series of 50th-anniversary shows the band played late last year in London, Brooklyn and New Jersey. (It also appeared at the 12-12-12 Hurricane Sandy benefit at Madison Square Garden.)

At the last of those concerts, on Dec. 15 in Newark, N.J., the Stones -- whose latest single, "Doom and Gloom," can be seen below -- were joined by guests including Lady Gaga,Bruce Springsteen, John Mayer and the Black Keys.

So far the band has denied the Coachella booking, though more dates in 2013 seem all but certain. Referring to the brief anniversary tour, Keith Richards recently told Rolling Stone magazine, "This thing wasn't enough."